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Finding the Third Proportional to 857,254 and 1,293,658

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Solution

The third proportional to 857,254 and 1,293,658 is: 1,952,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,254 : 1,293,658 = 1,293,658 : x
  2. Step 2: Convert to fraction form
    857,254/1,293,658 = 1,293,658/x
  3. Step 3: Cross multiply
    857,254x = 1,293,658 × 1,293,658
  4. Step 4: Simplify right side
    857,254x = 1,673,551,020,964
  5. Step 5: Solve for x
    x = 1,673,551,020,964/857,254
  6. Step 6: Final answer
    x = 1,952,223.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.